The differential cross section for the process where the Wino
annihilates to \(\gamma \gamma \)  is computed at the leading-log
(LL) [1]} and the next-LL
(NLL) [2]}.See also
Refs. [3]}, [4]} for the recent
developments. In the following analysis, we adopt the analytical
formulas at the NLL to give the differential cross section. In their
notation, \(s_{00}\)  and \(s_{\pm 0}\)  corresponds to \(\psi _{1}^{\rm sol1}(\infty )\)  and \(\psi _{1}^{\rm sol2}(\infty )\) , respectively. For
the process where the Wino annihilates to \(W^+W^-\) , we adopt the
formula given in Refs. [5]}, [6]}. Namely,
the cross section \(\sigma v_{W^+W^-}\)  is
\(\sigma v_{W^+W^-} = 2\left(A_{\rm som} \Gamma _{WW} A_{\rm som}^\dagger \right)_{11}\,,\) 
